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Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939

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BuyFindarrow_forward

Principles of Geotechnical Enginee...

9th Edition
Braja M. Das + 1 other
ISBN: 9781305970939
Textbook Problem

For a dry sand specimen in a direct shear test box, the following are given: Size of specimen: 2.8 in. × 2.8 in. × 1.25 in. (height)

Angle of friction: 41°

Normal stress: 22 lb/in.2

Determine the shear force required to cause failure

To determine

Find the shear force required to cause failure.

Explanation

Given information:

The size of specimen is 2.8in.×2.8in.×1.25in.

The angle of friction (ϕ) is 41°.

The normal stress (σ) is 22lb/in.2

Calculation:

Calculate the shear stress (τf) at failure using the following equation:

τf=σtanϕ

Here, σ is normal stress on the failure plane and ϕ drained angle of internal friction for sand.

Substitute 22lb/in.2 for σ and 41° for ϕ.

τf=22×tan41°=22×0

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